This thesis is about the conception and design of a digital correlation circuit used for distance measurement experiments with single photon avalanche diodes (SPADs). SPADs are emerging devices that have an unmatched sensitivity as light detectors. The circuit is designed for a 0.15m complementary metal oxide semiconductor (CMOS) process provided by LFoundry. In the beginning an overview of the fundamentals of SPAD devices and the different concepts of optical range measurements is given. Following, the functionality of the needed electronic circuit is specified. The fundamental steps and concepts needed, to implement and to simulate the digital circuit featuring that functionality using modern electric design automation (EDA) tools are explained. Subsequently, the design of the needed analog and asynchronous building blocks is discusses and combined with the digital parts to the whole application-specific integrated circuit (ASIC). Finally, results of post-layout simulations of the design are shown, which are used for verification and characterization before the ASIC enters manufacturing.